Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session K48: Strongly Driven Superconducting Systems
3:00 PM–5:48 PM,
Tuesday, March 5, 2024
Room: 200E
Sponsoring
Unit:
DQI
Chair: Antoine Brillant, University of Chicago
Abstract: K48.00014 : Exact nonlinear response theory for lossy superconducting quantum circuits*
5:36 PM–5:48 PM
Presenter:
Vasilii Vadimov
(QCD Labs, Aalto University)
Authors:
Vasilii Vadimov
(QCD Labs, Aalto University)
Meng Xu
(Univ Ulm)
Malte Krug
(Univ Ulm)
Juergen T Stockburger
(Univ Ulm)
Joachim Ankerhold
(Univ Ulm)
Mikko Möttönen
(QCD Labs, Aalto University)
to a diverse range of phenomena, among which the most important are dissipation and decoherence [2]. In addition to the inevitable coupling to the natural environment, the study of open quantum systems is also motivated by the need to carry out measurements on real systems [3]. In such cases, the measurement apparatus itself acts as an environment, leading to decoherence. In our work we provide a formalism for calculation of electromagnetic field emitted by the superconducting circuits, which can be measured experimentally [4]. Starting from the Feynman–Vernon path integral formalism for the lossy circuits, we eliminate the influence functional by introducing auxiliary harmonic modes with complex-valued frequencies coupled to the non-linear degrees of freedom of the circuit. This results in a many-body Liouville equation for the state of the system. We propose a concept of time-averaged observables, inspired by experiment, and provide an explicit formula for producing their quasiprobability distribution. Finally, we demonstrate the applicability of our formalism through a study on the dispersive readout of a superconducting qubit.
[1] U. Weiss, Quantum dissipative systems (World Scientific, 2012)
[2] A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. Fisher, A. Garg, and W. Zwerger, Reviews of Modern Physics 59, 1 (1987).
[3] K. Jacobs, Quantum measurement theory and its applications (Cambridge University Press, 2014).
[4] A. Blais, A. L. Grimsmo, S. Girvin, and A. Wallraff, Reviews of Modern Physics 93, 025005 (2021)
*This work has been financially supported by the Academy of Finland Centre of Excellence program (project no. 336810) and THEPOW (project no. 349594), the European Research Council under Advanced Grant no. 101053801 (ConceptQ), by Horizon Europe programme HORIZON-CL4-2022-QUANTUM-01-SGA via the project 101113946 OpenSuperQPlus100, the German Science Foundation (DFG) under AN336/12-1 (For2724), the State of Baden-W ̈uttemberg under KQCBW/SiQuRe, and the BMBF within the QSolidproject.
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